In this paper, the marine predator algorithm (MPA) is proposed for solving transcendental nonlinear equations in a selective harmonic elimination technique using multilevel inverter (MLI). It proved its suitability and supremacy over other (SHE) techniques used recent research as it has good precision, high probability of convergence, improving quality output voltage. The optimum values switchi...

Multilevel inverters supplied from equal and constant dc sources almost don’t exist in practical applications. The variation of the dc sources affects the values of the switching angles required for each specific harmonic profile, as well as increases the difficulty of the harmonic elimination’s equations. This paper presents an extremely fast optimal solution of harmonic elimination of multile...

This paper explains a control strategy SHE-PWM and a closed loop control of the cascaded multilevel inverter based on the modulation index. The modulation index is taken as the feedback to the cascaded multilevel inverter, the proposed system reduces the total harmonic distortion by optimizing the angles of the inverter and the DC voltage sources applied to the cascaded inverter. The specific l...

This paper proposed a new topology of symmetric single-phase multilevel inverter with the smaller number semiconductor switches and optimized low-frequency control methods to optimize Total Harmonic Distortion. A nine-level single phase output is obtained by eight active switches, four diodes capacitors from two asymmetrical dc sources. The selected harmonic order in voltage eliminated PWM (SHE...

We present accurate numerical results for the one-dimensional stationary Schrödinger equation in case of three quantum problems: harmonic oscillator, radial a Hydrogen atom, and particle penetration through potential barrier. All them were solved by Numerov method with high accuracy we plot their wave functions using calculations. Furthermore, offer methods solving boundary value problems, eige...

the harmonic index h(g) , of a graph g is defined as the sum of weights 2/(deg(u)+deg(v)) of all edges in e(g), where deg (u) denotes the degree of a vertex u in v(g). in this paper we define the harmonic polynomial of g. we present explicit formula for the values of harmonic polynomial for several families of specific graphs and we find the lower and upper bound for harmonic index in caterpill...